7,330,092

2² × 3 × 7 × 11 × 7933

7,330,092 factors as 2^2 × 3 × 7 × 11 × 7933. Its 48 positive divisors give a proper-divisor sum of 13,996,500, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 7933

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,326,592

Proper Divisor Sum 13,996,500

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7330051 ← → #7330097

Radix Representation

Decimal	7330092
Binary	11011111101100100101100 (23 bits)
Octal	0o33754454
Hexadecimal	0x6FD92C

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 7,933 15,866 23,799 31,732 47,598 55,531 87,263 95,196 111,062 166,593 174,526 222,124 261,789 333,186 349,052 523,578 610,841 666,372 1,047,156 1,221,682 1,832,523 2,443,364 3,665,046 7,330,092

Collatz Trajectory (59 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,330,092 3,665,046 1,832,523 5,497,570 2,748,785 8,246,356 4,123,178 2,061,589 6,184,768 3,092,384 1,546,192 773,096 386,548 193,274 96,637 289,912 144,956 72,478 36,239 108,718 54,359 163,078 81,539 244,618 122,309 366,928 183,464 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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